The temperaments listed are 24edo-distinct, meaning that they are all different even if tuned in 24edo. The ordering is by increasing complexity of 7. The temperament of lowest TE complexity was chosen as the representative for each class of edo-distinctness.

7-limit temperaments

Period, generator	Wedgie	Name	Complexity	Commas
24, 5	<<2 8 1 8 -4 -20]]	Godzilla	2.181	49/48 81/80
12, 5	<<4 -8 2 -22 -8 27]]	Anguirus	3.533	49/48 2048/2025
8, 3	<<6 0 3 -14 -12 7]]	Triforce	2.529	49/48 128/125
6, 1	<<8 8 4 -6 -16 -13]]	Hemidim	3.134	49/48 648/625
24, 1	<<10 16 5 2 -20 -33]]	Hemiripple	4.771	49/48 6561/6250
4, 1	<<12 0 18 -28 -5 42]]	Hemisemiaug	5.760	128/125 12005/11664
24, 11	<<10 16 17 2 -1 -5]]	Cohemiripple	4.562	245/243 1323/1250
3, 1	<<8 8 16 -6 3 15]]	Semidim	3.611	245/243 392/375
8, 1	<<6 0 15 -14 7 35]]	Semiaug	3.844	128/125 245/243
12, 1	<<4 -8 -10 -22 -27 -1]]	Shru	4.153	392/375 1323/1280
24, 7	<<2 8 13 8 15 8]]	Mohamaq	2.958	81/80 392/375
2, 1	<<0 0 12 0 19 28]]	Catler	3.026	81/80 128/125

11-limit temperaments

Period, generator	Wedgie	Name	Complexity	Commas
24, 5	<<2 8 1 -7 8 -4 -18 -20 -44 -23]]	Baragon	2.811	49/48 56/55 81/80
12, 5	<<4 -8 2 10 -22 -8 2 27 51 21]]	Anguirus	3.583	49/48 56/55 243/242
8, 3	<<6 0 3 3 -14 -12 -16 7 7 -2]]	Triforce	2.201	49/48 56/55 77/75
6, 1	<<8 8 4 20 -6 -16 4 -13 19 42]]	Hemidim	3.423	49/48 77/75 243/242
24, 1	<<10 16 5 13 2 -20 -14 -33 -25 19]]	Hemiripple	4.132	49/48 121/120 567/550
4, 1	<<12 0 18 18 -28 -5 -13 42 42 -12]]	Hemisemiaug	5.105	56/55 128/125 3773/3645
24, 11	<<10 16 17 25 2 -1 5 -5 3 11]]	Cohemiripple	4.235	77/75 243/242 245/242
3, 1	<<8 8 16 8 -6 3 -15 15 -9 -33]]	Semidim	3.223	56/55 77/75 245/243
8, 1	<<6 0 15 15 -14 7 3 35 35 -10]]	Hemiaug	3.575	56/55 128/125 245/243
12, 1	<<4 -8 -10 -2 -22 -27 -17 -1 23 29]]	Shru	3.613	56/55 77/75 1323/1280
24, 7	<<2 8 13 5 8 15 1 8 -16 -31]]	Mohamaq	2.623	56/55 77/75 243/242
2, 1	<<0 0 12 12 0 19 19 28 28 -8]]	Catcall	3.030	56/55 81/80 128/125

13-limit temperaments

Period, generator	Wedgie	Name	Complexity	Commas
24, 5	<<2 8 1 17 11 8 -4 20 10 -20 12 -4 44 27 -25]]	Varan	2.724	49/48 66/65 77/75 81/80
12, 5	<<4 -8 2 10 -2 -22 -8 2 -18 27 51 25 21 -13 -44]]	Anguirus	3.265	49/48 56/55 91/90 352/351
8, 3	<<6 0 3 3 9 -14 -12 -16 -8 7 7 21 -2 14 20]]	Triforce	2.105	49/48 56/55 66/65 77/75
6, 1	<<8 8 4 20 20 -6 -16 4 2 -13 19 17 42 41 -5]]	Hemidim	3.328	49/48 66/65 77/75 648/625
24, 1	<<10 16 5 13 7 2 -20 -14 -26 -33 -25 -43 19 1 -24]]	Hemiripple	3.852	49/48 66/65 121/120 351/350
4, 1	<<12 0 6 6 -6 -28 -24 -32 -54 14 14 -14 -4 -39 -43]]	Semitriforce	4.540	49/48 56/55 77/75 507/500
24, 11	<<10 16 17 25 19 2 -1 5 -7 -5 3 -15 11 -10 -27]]	Cohemiripple	3.791	66/65 77/75 147/143 351/350
3, 1	<<8 8 16 8 8 -6 3 -15 -17 15 -9 -11 -33 -37 -2]]	Semidim	2.959	56/55 66/65 77/75 507/500
8, 1	<<6 0 -9 -9 -3 -14 -31 -35 -27 -21 -21 -7 6 25 23]]	Hemiug	3.505	56/55 66/65 105/104 507/500
12, 1	<<4 -8 -10 -2 -14 -22 -27 -17 -37 -1 23 -3 29 -2 -41]]	Shru	3.606	56/55 77/75 105/104 507/500
24, 7	<<2 8 13 5 -1 8 15 1 -9 8 -16 -32 -31 -51 -22]]	Mohamaq	2.734	56/55 66/65 77/75 243/242
2, 1	<<0 0 12 12 12 0 19 19 19 28 28 28 -8 -11 -3]]	Catcall	2.883	56/55 66/65 81/80 105/104